A rational sextic associated with a Desargues configuration

1994 ◽  
Vol 51 (2) ◽  
pp. 163-180 ◽  
Author(s):  
C. Thas
Keyword(s):  
Desargues Configuration

Pseudo-Homogeneous Coordinates for Hughes Planes

1996 ◽  
Vol 39 (3) ◽  
pp. 330-345 ◽  
Author(s):  
Peter Maier ◽  
Markus Stroppel
Keyword(s):  
Projective Planes ◽  
Baer Subplane ◽  
Homogeneous Coordinates ◽  
Desargues Configuration ◽  
Coset Spaces ◽  
Insight Into ◽  
Hughes Plane

AbstractAmong the projective planes, the class of Hughes planes has received much interest, for several good reasons. However, the existing descriptions of these planes are somewhat unsatisfactory. We introduce pseudo-homogeneous coordinates which at the same time are easy to handle and give insight into the action of the group that is generated by all elations of the desarguesian Baer subplane of a Hughes plane. The information about the orbit decomposition is then used to give a description in terms of coset spaces of this group. Finally, we exhibit a non-closing Desargues configuration in terms of coordinates.

scholarly journals Fundamental group of Desargues configuration spaces

2012 ◽  
Vol 49 (3) ◽  
pp. 348-365
Author(s):  
Barbu Berceanu ◽  
Saima Parveen
Keyword(s):  
Fundamental Group ◽  
Projective Spaces ◽  
Configuration Spaces ◽  
Complex Projective Spaces ◽  
Desargues Configuration ◽  
Complex Projective ◽  
Fixed Center

We compute the fundamental group of various spaces of Desargues configurations in complex projective spaces: planar and non-planar configurations, with a fixed center and also with an arbitrary center.

MULTIPLE PERSPECTIVES AND GENERALIZATIONS OF THE DESARGUES CONFIGURATION

2006 ◽  
Vol 39 (4) ◽  
Author(s):  
Małgorzata Prażmowska
Keyword(s):  
Multiple Perspectives ◽  
Desargues Configuration

scholarly journals A generalized Desargues configuration and the pure braid group

1996 ◽  
Vol 160 (1-3) ◽  
pp. 105-113
Author(s):  
Raul Cordovil ◽  
António Guedes de Oliveira ◽  
Michel Las Vergnas
Keyword(s):  
Braid Group ◽  
Pure Braid Group ◽  
Desargues Configuration

Placement of the Desargues configuration on a cubic curve

1991 ◽  
Vol 40 (2) ◽  
Author(s):  
N.S. Mendelsohn ◽  
R. Padmanabhan ◽  
B. Wolk
Keyword(s):  
Desargues Configuration ◽  
Cubic Curve

scholarly journals 24 self-inscribed decagons in Desargues configuration $10_3$

1976 ◽  
Vol 101 (3) ◽  
pp. 232-233
Author(s):  
Kishore Sinha
Keyword(s):  
Desargues Configuration

scholarly journals FEATURES OF COMPUTER IMPLEMENTATION OF CONSTRUCTING PLANAR DESARGUES CONFIGURATION

Vestnik MGSU ◽  
2015 ◽  
pp. 168-177
Author(s):  
Andrey Viktorovich Ivashchenko ◽  
Elena Pavlovna Znamenskaya
Keyword(s):  
Computer Graphics ◽  
Architectural Design ◽  
Limited Capacity ◽  
Computer Implementation ◽  
Construction Sequence ◽  
Planar Configuration ◽  
Desargues Configuration ◽  
Perspective Distortion ◽  
Graphical Information ◽  
The Difference

The authors present the main properties of the planar configuration of Desargues, which open the possibility of its widespread use in architectural design and the design of complex volumes, consisting of a series of simple overlapping forms. However, the computer implementation of Desargues configuration construction is associated with certain difficulties caused by the fact that the monitor can only discretely represent the graphical information. In this article we identified and analyzed the properties of Desargues configuration, the use of which allows overcoming these difficulties and solving the problem of the limited capacity of monitors in the development of complex architectural forms with the help of computer graphics. Along with this, the use of the allocated properties allows predicting complex effects of the perception of architectural forms, for example, the difference of perception of architectural objects near and afar with account for perspective distortion, and they are also the basis for the development of the algorithm of construction sequence during design.

Non-crystallographic symmetry of liquid metal, flat crystallographic faults and polymorph transformation of the M7C3carbide

2017 ◽  
Vol 73 (3) ◽  
pp. 209-217 ◽  
Author(s):  
Alexander L. Talis ◽  
Valentin S. Kraposhin ◽  
Sergey Yu. Kondrat'ev ◽  
Vladimir I. Nikolaichik ◽  
Ekaterina V. Svyatysheva ◽  
...  
Keyword(s):  
Electron Microscopy ◽  
Transmission Electron Microscopy ◽  
Melt Structure ◽  
Fault Structure ◽  
Desargues Configuration ◽  
Transmission Electron ◽  
Crystallographic Symmetry ◽  
Carbide Particles ◽  
Cast Condition ◽  
Polymorph Transformation

The fine lamellar fault structure of primary M7C3carbide particles in the heat-resistant Fe–Cr–Ni–C alloy of the HP series (0.45C–25Cr–35Ni) in the cast condition has been revealed using transmission electron microscopy. The lamellar fault structure is regarded as an inheritance of the initial melt structure. A one-to-one correspondence between the crystal structures of M7C3, M5C2, M3C and M23C6carbides and constructions of the projective 103Desargues configuration and its subconfigurations is shown. Mutual mapping between 103Desargues subconfigurations determines transformations of the ten-vertex equal-edged triangulated clusters appearing as building units of these carbides.

scholarly journals Pascal’s Hexagram and Desargues Configurations

2021 ◽  
Vol 27_NS1 (1) ◽  
pp. 21-31
Author(s):  
Jaydeep Chipalkatti
Keyword(s):  
Symmetric Group ◽  
Galois Group ◽  
Desargues Configuration

This paper solves an enumerative problem which arises naturally in the context of Pascal’s hexagram. We prove that a general Desargues configuration in the plane is associated to six conical sextuples via the theorems of Pascal and Kirkman. Moreover, the Galois group associated to this problem is isomorphic to the symmetric group on six letters.

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